Number of the day: 4847

Properties of the number 4847:

4847 is a cyclic number.
4847 = 37 × 131 is semiprime and squarefree.
4847 has 2 distinct prime factors, 4 divisors, 15 antidivisors and 4680 totatives.
4847 has a prime digit sum 23 in base 10.
4847 = 2424² - 2423² = 84² - 47² is the difference of 2 nonnegative squares in 2 ways.
4847 is the difference of 2 positive pentagonal numbers in 1 way.
4847 is not the sum of 3 positive squares.
4847² = 1572² + 4585² is the sum of 2 positive squares in 1 way.
4847² is the sum of 3 positive squares.
4847 is a proper divisor of 787³ - 1.
4847 is an emirpimes in (at least) the following bases: 2, 5, 7, 13, 16, 17, 22, 23, 27, 28, 33, 39, 45, 49, 50, 51, 52, 55, 57, 62, 64, 65, 66, 68, 69, 71, 73, 75, 81, 86, 88, 94, 96, and 97.
4847 is palindromic in (at least) the following bases: -51, and -57.

The number 4847 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A015882: Numbers n such that sigma(n) = sigma(n + 12).
A024784: Every suffix prime and no 0 digits in base 9 (written in base 9).
A061722: a(n) = 10 * n^2 + 7.
A064699: Integers for which the smallest m in A040076 such that n*2^m+1 is prime (A050921) increases.
A140689: a(n) = n*(3*n + 20).
A152527: a(n) = (p(n)*p(n+1)-p(n+2))/2, where p(n) is the n-th odd prime.
A186029: a(n) = n*(7*n+3)/2.
A218569: Number of partitions p of n such that max(p)-min(p) = 6.
A235039: Odd numbers which are factored to the same set of primes in Z as to the irreducible polynomials in GF(2)[X]; odd terms of A235036.
A281525: Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood.